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Finding the Fourth Proportional to 686.07, 946.53 and 420.48

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Solution

The fourth proportional to 686.07, 946.53 and 420.48 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 946.53 = 420.48 : x
  2. Step 2: Convert to fraction form
    686.07/946.53 = 420.48/x
  3. Step 3: Cross multiply
    686.07x = 946.53 × 420.48
  4. Step 4: Simplify right side
    686.07x = 397,996.93
  5. Step 5: Solve for x
    x = 397,996.93/686.07
  6. Step 6: Final answer
    x = 580.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.